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Finding the Fourth Proportional to 17,071.50, 23,558.77 and 9,518.31

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Solution

The fourth proportional to 17,071.50, 23,558.77 and 9,518.31 is: 13,135.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,071.50 : 23,558.77 = 9,518.31 : x
  2. Step 2: Convert to fraction form
    17,071.50/23,558.77 = 9,518.31/x
  3. Step 3: Cross multiply
    17,071.50x = 23,558.77 × 9,518.31
  4. Step 4: Simplify right side
    17,071.50x = 224,239,676.08
  5. Step 5: Solve for x
    x = 224,239,676.08/17,071.50
  6. Step 6: Final answer
    x = 13,135.32

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.